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Finding the Fourth Proportional to 2,532.63, 3,494.99 and 1,413.62

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Solution

The fourth proportional to 2,532.63, 3,494.99 and 1,413.62 is: 1,950.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,532.63 : 3,494.99 = 1,413.62 : x
  2. Step 2: Convert to fraction form
    2,532.63/3,494.99 = 1,413.62/x
  3. Step 3: Cross multiply
    2,532.63x = 3,494.99 × 1,413.62
  4. Step 4: Simplify right side
    2,532.63x = 4,940,563.22
  5. Step 5: Solve for x
    x = 4,940,563.22/2,532.63
  6. Step 6: Final answer
    x = 1,950.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.